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A relation in which each element of the domain is paired with exactly one element of the range?
A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.
What is a relation in which each element of the first set is paired with exactly one element of the second set?
If every element of the first set is paired with exactly one element of the second set, it is called an injective (or one-to-one) function.An example of such a relation is below.Let f(x) and x be the set R (the set of all real numbers)f(x)= x3, clearly this maps every element of the first set, x, to one and only one element of the second set, f(x), even though every element of the second set is not mapped to.
What is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
What is a function in algebra?
FromA function is a relation between a given set of elements called the domain and a set of elements called the co-domain. The function associates each element in the domain with exactly one element in the co-domain. The elements so related can be any kind of thing (words, objects, qualities) but are typically mathematical quantities, such as real numbers.An example of a function with domain {A,B,C} and co-domain {1,2,3} associates A with 1, B with 2, and C with 3. An example of a function with the real numbers as both its domain and co-domain is the function f(x) = 2x, which associates every real number with the real number twice as big. In this case, we can write f(5) = 10.
Is every function is a relation true or false?
true!
When can we say that a relation is not a function?
When it doesn't fulfill the requirements of a function. A function must have EXACTLY ONE value of one of the variables (the "dependent variable") for every value of the other variable or variables (the "independent variable").
A relation in which each element of the domain is paired with exactly one element of the range?
A relation where each element of the domain is paired with only one element of the range is a one to one function. A one to one function may also be an onto function if all elements of the range are paired.
Is all relation a function?
Not every relation is a function. A function is type of relation in which every element of its domain maps to only one element in the range. However, every function is a relation.
What is a relation in which each element of the first set is paired with exactly one element of the second set?
If every element of the first set is paired with exactly one element of the second set, it is called an injective (or one-to-one) function.An example of such a relation is below.Let f(x) and x be the set R (the set of all real numbers)f(x)= x3, clearly this maps every element of the first set, x, to one and only one element of the second set, f(x), even though every element of the second set is not mapped to.
What is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
What is the relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
Is a relation that assigns exactly one value in the range to each value in the domain?
one value for "Y" for every "X" is related by a function... it cannot be a function if it has more than one Y value for an X value
Is every relation a function?
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
How do you determined if a relation is a function?
For every element on the domain, the relationship must allocate a unique element in the codomain (range). Many elements in the domain can be mapped to the same element in the codomain but not the other way around. Such a relationship is a function.
Is the relation a function?
Not every relation is a function. But every function is a relation. Function is just a part of relation.
Is every field an integral domain?
Yes, every field is an integral domain.
What is a function in algebra?
FromA function is a relation between a given set of elements called the domain and a set of elements called the co-domain. The function associates each element in the domain with exactly one element in the co-domain. The elements so related can be any kind of thing (words, objects, qualities) but are typically mathematical quantities, such as real numbers.An example of a function with domain {A,B,C} and co-domain {1,2,3} associates A with 1, B with 2, and C with 3. An example of a function with the real numbers as both its domain and co-domain is the function f(x) = 2x, which associates every real number with the real number twice as big. In this case, we can write f(5) = 10.
